Please show the following question in detail, I don't understand one bit of it, " Let R be a relation defined on the set N by aRb if either a | 2b or b | 2a. Prove or disprove: R is an equivalence relation.

Q: Let T be an irreflexive relation on the set M, then the ToT relation is also irreflexive on the set…

A: Let M=ℕ. Define relation T on M as, T=a,b : a≠ b Clearly a,a∉T for any a∈M. Hence T is irreflexive.

Q: You just bought a new car from a dealership that sells cars no older than 2015. Consider the…

A: According to the given information, Let S be the set of all cars sold in the period 2015 to 2020.…

Q: 2. For each of the following relations, indicate whether it is a partial order, a strict order, or…

A:

Q: 3. The DIIOwing relations are not equi properties that are not satisfied. Explain your answer. a. a…

A:

Q: Give a specific reason why the following set R does not define an equivalence relation on the set…

A:

Q: I have the following question and I also have the answer, I just dont understand why and how this…

A:

Q: Let R be the relation on the set of ordered pairs of positive intergers such that (refer to image).

A:

Q: "Let R be the relation defined on Z by aRb if a + b is even. Show that R is an equivalence relation…

A:

Q: properties:Reflexive,Symmetric and Transitive. a R b iff a+b is evenly divisible by 3 b)Does this…

A:

Q: 9. Define a relation R on {-2,-1,0, 1, 2, 3, 4, 5, 6, 7} by a R b if and only if 3a+b is a multiple…

A:

Q: 1. Verify that the relation ~ is an equivalence relation on the set S given. (a) S = R reals, a ~ b…

A:

Q: Let S {(a,b): a,be R, a 0}. Show that the relation R defined on S by (a, b) R(c,d) if = ad be is an…

A:

Q: Decide whether each of the following relations is an equivalence relation or not.  {(a, b) | gpa of…

A: To prove equivalence relation, we have to prove that (i) the relation is reflexive, (ii) the…

Q: lation. Justify why your answers are corre R is a relation on the set of all people sue R is a…

A: EQUIVALENCE RELATION: If a relation R on a set A satisfies the following three criteria, it is…

Q: 1. For (a, b) and (c, d) in R², define (a, b)R(c, d) by a² – c² = b2 - d². Determine whether the…

A: The given problem is to prove that the relation is equivalence relation, to be equivalence it must…

Q: A relation is an equivalence relation if it satisfies three properties. which of the following…

A: I am going to solve the given problem by using some simple algebra to get the required result.

Q: How many relations are the

A: Given : The set is { 1, 2} .

Q: Give an example of two equivalence relations R and S on the set A = {1, 2, 3} such that RUS is not…

A: 6 Given set is A=1,2,3. Consider the relation R and S on A is given by  R=1,1,2,2,3,31,2,2,1 And…

Q: Indicate which of the following relations is an equivalence relation or is a partial order relation.…

A:

Q: What is the significance of the line above the 'a' variable in this context?

A: Given . is nothing but a element of A.And the set is just denoted by, is called the class of . It…

Q: Let A = {0,1, 2} × {0, 1, 2, 3}. We define an equivalence relation R on A by saying that (a, b)R(c,…

A:

Q: Let S be the set of real numbers. If a,be S, define a ~ b if a -b is an integer. Show that is an…

A: Let S be the set of real numbers. Given the relation R is define a~b if  a-b is an integer. To show…

Q: Please answer the part (B). I have got a solution for the question on this platform but the answer…

A:

Q: Let be the relation defined on R by the condition that x - y if x³-y³ = 13(x - y). For example, 1-3,…

A:

Q: (c) The reversed relation R is an equivalence relation. (d) So R is an equivalence relation if and…

A: (c) If R is an equivalence relation in a set X, then it is reflexive, symmetric and transitive.

Q: 3. Let X be a set and S and R equivalence relations on X. Prove or give a concrete counter example…

A: Since you have asked multiple questions, we will solve the first and second question for you. If you…

Q: Let A # 0 be a set. Prove that A? is an equivalence relation on A.

A:

Q: For the set A = {are, bot, cab, era)}, define the relation R on A to be: (x,y) eR if and only if…

A: As per the condition, in every order pair there should be only 1 letter in common.

Q: A car dealership sells cars that were made in 2015 through 2020. Let the cars for sale be the domain…

A: Consider the provided question, Let A = cars for sale and R be the relation on A, defined by two…

Q: a) If R and S be two relations from set A to B. Show that (RNS)-¹ = R-¹ S-¹ b) Justify the following…

A: We know that ,  A relation R defined on a set A is called equivalence relation if R satisfies the…